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Meir, A.; Moon, J. W.; Mycielski, J.

Hereditarily finite sets and identity trees. (English) Zbl 0507.05025

J. Comb. Theory, Ser. B 35, 142-155 (1983).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0507.05025

Cited in 10 Documents

MSC:

05C05 Trees
05A05 Permutations, words, matrices
60C05 Combinatorial probability
05C30 Enumeration in graph theory

Keywords:

family of hereditarily finite sets; rooted identity trees; expected degree; asymptotic behaviour
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References:

[1] Berge, C., (The Theory of Graphs and Its Applications (1962), Methuen: Methuen London) · Zbl 0097.38903
[2] Beth, E. W., Axiomatique de la theorie des ensembles sans axiome de l’infini, Bull. Soc. Math. Belg., 16, 127-136 (1964) · Zbl 0151.01001
[3] van Dalen, D.; Doets, H. C.; de Swart, H., Sets: Naive, Axiomatic, and Applied, (Inter. Ser. Pure Appl. Math., Vol. 106 (1978), Pergamon: Pergamon Oxford) · Zbl 0407.04001
[4] Drake, F. R., (Set Theory: An Introduction to Large Cardinals (1974), North-Holland: North-Holland Amsterdam) · Zbl 0294.02034
[5] Harary, F.; Palmer, E. M., (Graphical Enumeration (1973), Academic Press: Academic Press New York) · Zbl 0266.05108
[6] Harary, F.; Prins, G., The number of homeomorphically irreducible trees, and other species, Acta Math., 101, 141-162 (1959) · Zbl 0084.19304
[7] Harary, F.; Robinson, R. W.; Schwenk, A. J., Twenty step algorithm for determining the asymptotic number of trees of various species, J. Austral. Math. Soc. Ser. A, 20, 483-503 (1975), Errata, in press · Zbl 0319.05102
[8] Hardy, G. H.; Wright, E. M., (An Introduction to the Theory of Numbers (1960)), Oxford · Zbl 0086.25803
[9] Meir, A.; Moon, J. W., Packing and covering constants for certain families of trees, I, J. Graph Theory, 1, 157-174 (1977) · Zbl 0391.05018
[10] Meir, A.; Moon, J. W., Path edge-covering constants for certain families of trees, Utilitas Math., 14, 313-333 (1978) · Zbl 0423.05011
[11] Mycielski, J., The definition of arithmetic operations in the Ackermann model, Algebra i Logika, 3, 64-65 (1964), [Russian] · Zbl 0171.26403
[12] Palmer, E. M.; Schwenk, A. J., On the number of trees in a random forest, J. Combin. Thtoery Ser. B, 27, 109-121 (1979) · Zbl 0416.05050
[13] Pólya, G., Kombinatorische Anzahlbestimmungen für Gruppen, Graphen, und chemische Verbindungen, Acta Math., 68, 145-254 (1937) · JFM 63.0547.04
[14] Robinson, R. W.; Schwenk, A. J., The distribution of degrees in a large random tree, Discrete Math., 12, 359-372 (1975) · Zbl 0308.05102
[15] Schwenk, A. J., An asymptotic evaluation of the cycle index of a symmetric group, Discrete Math., 18, 71-78 (1977) · Zbl 0354.05032
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